12) Find the complete integral of the PDE p²+q²=1
This PDE is of Clariut's type. That is, it's of the form z=px+qy+f(p,q)z=px+qy+f(p, q)z=px+qy+f(p,q).
To get the complete integral of this kind of PDE, we replace p,qp, qp,q with a,ba, ba,b respectively.
Hence the complete integral of the PDE above is
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